Suppose that the mean time for a certain car to go from 0 to 60 miles per hour was 7.6 seconds. Suppose that you want to set up a statistical test to challenge the claim of 7.6 seconds as the value obtained from the 50 car for a sample was 7.8. The standard deviation of the sample was .2. Use the significance level a=.01. a. State the Null and Alternate Hypothesis. b. Which test should be conducted in this scenario? c. Compute the numerical value of the test statistics. d. Find the p-value corresponding the test statistics. e. Is the test statistically significant? Will you reject or fail to reject the null hypothesis? f. Find the 95% Confidence Interval for the population.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose that the mean time for a certain car to go from 0
to 60 miles per hour was 7.6 seconds. Suppose that you
want to set up a statistical test to challenge the claim of
7.6 seconds as the value obtained from the 50 car for a
sample was 7.8. The standard deviation of the sample was
.2. Use the significance level a=.01.
a. State the Null and Alternate Hypothesis.
b. Which test should be conducted in this scenario?
c. Compute the numerical value of the test statistics.
d. Find the p-value corresponding the test statistics.
e. Is the test statistically significant? Will you reject or
fail to reject the null hypothesis?
f. Find the 95% Confidence Interval for the population.
Transcribed Image Text:Suppose that the mean time for a certain car to go from 0 to 60 miles per hour was 7.6 seconds. Suppose that you want to set up a statistical test to challenge the claim of 7.6 seconds as the value obtained from the 50 car for a sample was 7.8. The standard deviation of the sample was .2. Use the significance level a=.01. a. State the Null and Alternate Hypothesis. b. Which test should be conducted in this scenario? c. Compute the numerical value of the test statistics. d. Find the p-value corresponding the test statistics. e. Is the test statistically significant? Will you reject or fail to reject the null hypothesis? f. Find the 95% Confidence Interval for the population.
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